Abstract
In this survey chapter, we present systems of various kinds of vector quasi-equilibrium problems and give existence theory for their solutions. Some applications to systems of vector quasi-optimization problems, quasi-saddle point problems for vector-valued functions and Debreu type equilibrium problems, also known as constrained Nash equilibrium problems, for vector-valued functions are presented. (J Math Anal Appl 341:1271-1283, 2008); Ansari et al. (J Global Optim 29:45-57, 2004);Ansari and Khan (Mathematical Analysis and Applications, edited by S. Nanda and G.P. Rajasekhar, Narosa, New Delhi, 2004, pp. 1-13); and Ansari et al. (J Optim Theory Appl 127:27-44, 2005).
| Original language | English |
|---|---|
| Title of host publication | Springer Optimization and Its Applications |
| Publisher | Springer International Publishing |
| Pages | 1-42 |
| Number of pages | 42 |
| DOIs | |
| State | Published - 2010 |
| Externally published | Yes |
Publication series
| Name | Springer Optimization and Its Applications |
|---|---|
| Volume | 47 |
| ISSN (Print) | 1931-6828 |
| ISSN (Electronic) | 1931-6836 |
Bibliographical note
Publisher Copyright:© Springer Science+Business Media, LLC 2010.
ASJC Scopus subject areas
- Control and Optimization